Question

find the expression for acceleration of a cylinder rolling down an inclined plane

without slipping​

Answer 1

Answer:

Here both the momentum and the acceleration are for the center of mass of the object. Of course a point mass is ONLY a center - right? For the Work-Energy principle, a point mass can only have translational kinetic energy even though a system of the point mass and the Earth could also have gravitational potential energy. The point by itself only has translational kinetic energy.

A rigid is something that can clearly rotate. Suppose I have a meter stick. This stick can both rotate and have its center of mass move. That means two things. First, along with the momentum principle we also need the angular momentum principle.